Banca de DEFESA: NYLADIH THEODORY CLEMENTE MATTOS DE SOUZA

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
DISCENTE : NYLADIH THEODORY CLEMENTE MATTOS DE SOUZA
DATA : 16/12/2016
HORA: 14:00
LOCAL: Auditório do CCET
TÍTULO:

Non-Conventional Description of Generalized Cantor Fractals and Chromosomal Sequences of Human DNA in the Kaniadakis Formalism

PALAVRAS-CHAVES:

Generalized entropy, information theory, Cantor set, DNA

PÁGINAS: 124
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
SUBÁREA: Física da Matéria Condensada
RESUMO:

In the present work, we present a statistical analysis, via theory of information in the context of the Kaniadakis generalized statistics, of generalized Cantor sets (type d-(m, r)) and the Y chromosome of human DNA. The objectives of our study are to determine, through -entropy (which is suitable for systems with long-range correlations), the laws of scale, self-similar behaviors and characteristical fractal dimensions of these two systems: one deterministic, and the other found in nature. For the generalized Cantor set, we determine analytically and numerically the values of  that make the entropy linear with the system size, obtaining a relation between  (the deformation parameter), the fractal dimension (df) and the support dimension (d). Using the concept of blocks, we show that for arbitrary intervals of L (system size), and s (size of the information block), the -entropy exhibits self-similar behavior, as well as a power law-like behavior with respect to s. In the entropy analysis of the Y chromosome we observed that, regardless of the value of , the Kaniadakis entropy, when presented as a function of the size of the system, presents in general (but not always) three regimes: one oscillatory, one monotonically linear, and another of saturation. The latter is a result of the fact that the entropy is extensive, and the system is finite. The second regime, in turn, denotes an apparent internal order. However, in this case it was not possible to observe a self-similar behavior. Our analysis was restricted to the coding part of the Y chromosome, where we have neglected the noncoding parts.

MEMBROS DA BANCA:
Presidente - 1519258 - DORY HELIO AIRES DE LIMA ANSELMO
Externo à Instituição - IDALMIR DE SOUZA QUEIROZ JÚNIOR - UFERSA
Interno - 1354851 - MANOEL SILVA DE VASCONCELOS
Interno - 1672854 - RAIMUNDO SILVA JUNIOR
Externo à Instituição - VAMBERTO DIAS DE MELLO - UERN